Divers in a competition are scored by an international panel of judges. The highest and the lowest scores are dropped. The total of the remaining scores is multiplied by the degree of difficulty of the dive. This product is multiplied by 0.6 to determine the final score.

A diver's final score is 77.7. What is the degree of difficulty of the dive?

The scores are 7.5, 8.0, 6.5, 8.5, 7.0, 7.5, 7.0.

Let
x--------> the degree of difficulty of the dive
we know that

The highest and the lowest scores are dropped

so
highest scores= 8.5
lowest scores= 6.5
the remaining scores= [ 7.5 , 8.0 , 7.0 , 7.5 , 7.0 ]

Find the total of the remaining scores

= [ 7.5 + 8 + 7 + 7.5 + 7 ] = 37

The total of the remaining scores is multiplied by the degree of difficulty of the dive

so
37 ∗ x

This product is multiplied by .6 to determine the final score

[ 37 ∗ x ] ∗ 0.6 = 77.7 22.2 ∗ x = 77.7 x = 3.5
therefore
the answer is
the degree of difficulty of the dive is 3.5

Answered by calculista | 2024-06-24

The degree of difficulty of the dive is approximately 3.5 after calculating the total of the remaining scores and using the final score formula. First, we dropped the highest and lowest scores, calculated the total of the remaining scores, and then solved for the degree of difficulty using the final score equation. The final degree of difficulty is found to be 3.5.
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Answered by calculista | 2024-09-03